Question

(PUC-MG)os numeros reais p e q sao as raizes da equacao 15x^2-11x+2=0.entao o valor de 1/p+1/q é:

Answer 1

15x^2-11x+2=0    
Δ=b²-4ac
Δ=121-120
Δ=1
x=(-b+ou-√Δ):2a
x=(11+ou-1):30
p=(11+1):30
p=12/30
p=2/5
q=(11-1):30
q=10/30
q=1/3
1/p+1/q=
1/2/5+1/1/3=
1.5/2+1.3/1=
5/2+3/1=
(5+6):2=
11/2